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Finding the Third Proportional to 52,064 and 107,818

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Solution

The third proportional to 52,064 and 107,818 is: 223,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,064 : 107,818 = 107,818 : x
  2. Step 2: Convert to fraction form
    52,064/107,818 = 107,818/x
  3. Step 3: Cross multiply
    52,064x = 107,818 × 107,818
  4. Step 4: Simplify right side
    52,064x = 11,624,721,124
  5. Step 5: Solve for x
    x = 11,624,721,124/52,064
  6. Step 6: Final answer
    x = 223,277.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.